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C(X) determines X - an inherent theory

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C(X) determines X - an inherent theory

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Mitra, B.; Das, S. (2023). C(X) determines X - an inherent theory. Applied General Topology. 24(1):83-93. https://doi.org/10.4995/agt.2023.17569

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Título: C(X) determines X - an inherent theory
Autor: Mitra, Biswajit Das, Sanjib
Fecha difusión:
Resumen:
[EN] One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to  investigate X and Y such that C(X) isomorphic with C(Y ) implies X homeomorphic with ...[+]
Palabras clave: Nearly realcompact , Real maximal ideal , SRM ideal , Realcompact , P-maximal ideal , P-compact space , Structure space
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2023.17569
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2023.17569
Tipo: Artículo

References

R. L. Blair and E. K. van Douwen, Nearly realcompact spaces, Topology Appl. 47, no. 3 (1992), 209-221. https://doi.org/10.1016/0166-8641(92)90031-T

H. L. Byun and S. Watson, Prime and maximal ideals in subrings of C(X), Topology Appl. 40 (1991), 45-62. https://doi.org/10.1016/0166-8641(91)90057-S

P. P. Ghosh and B. Mitra, On Hard pseudocompact spaces, Quaestiones Mathematicae 35 (2012), 1-17. https://doi.org/10.2989/16073606.2012.671158 [+]
R. L. Blair and E. K. van Douwen, Nearly realcompact spaces, Topology Appl. 47, no. 3 (1992), 209-221. https://doi.org/10.1016/0166-8641(92)90031-T

H. L. Byun and S. Watson, Prime and maximal ideals in subrings of C(X), Topology Appl. 40 (1991), 45-62. https://doi.org/10.1016/0166-8641(91)90057-S

P. P. Ghosh and B. Mitra, On Hard pseudocompact spaces, Quaestiones Mathematicae 35 (2012), 1-17. https://doi.org/10.2989/16073606.2012.671158

L. Gillman and M. Jerison, Rings of Continuous Functions, University Series in Higher Math, Van Nostrand, Princeton, New Jersey, 1960. https://doi.org/10.1007/978-1-4615-7819-2

M. Henriksen and B. Mitra, C(X) can sometimes determine X without X being realcompact, Comment. Math. Univ. Carolina 46, no. 4 (2005), 711-720.

M. Henriksen and M. Rayburn, On nearly pseudocompact spaces, Topology Appl. 11 (1980), 161-172. https://doi.org/10.1016/0166-8641(80)90005-X

E. Hewitt, Rings of real valued continuous functions, Trans. Amer. Math. Soc. 64 (1948), 45-99. https://doi.org/10.1090/S0002-9947-1948-0026239-9

B. Mitra and S. K. Acharyya, Characterizations of nearly pseudocompact spaces and related spaces, Topology Proceedings 29, no. 2 (2005), 577-594.

M. C. Rayburn, On hard sets, General Topology and its Applications 6 (1976), 21-26. https://doi.org/10.1016/0016-660X(76)90004-0

L. Redlin and S. Watson, Maximal ideals in subalgebras of C(X), Proc. Amer. Math Soc. 100, no. 4 (1987), 763-766. https://doi.org/10.1090/S0002-9939-1987-0894451-2

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